64 ideas
| 24084 | Seeing with other eyes is more egoism, but exploring other perspectives leads to objectivity [Nietzsche] |
| 22289 | Dedekind proved definition by recursion, and thus proved the basic laws of arithmetic [Dedekind, by Potter] |
| 24092 | I tell the truth, even if it is repulsive [Nietzsche] |
| 24114 | The pain in truth is when it destroys a belief [Nietzsche] |
| 24104 | We don't create logic, time and space! The mind obeys laws because they are true [Nietzsche] |
| 10183 | An infinite set maps into its own proper subset [Dedekind, by Reck/Price] |
| 22288 | We have the idea of self, and an idea of that idea, and so on, so infinite ideas are available [Dedekind, by Potter] |
| 10706 | Dedekind originally thought more in terms of mereology than of sets [Dedekind, by Potter] |
| 9823 | Numbers are free creations of the human mind, to understand differences [Dedekind] |
| 10090 | Dedekind defined the integers, rationals and reals in terms of just the natural numbers [Dedekind, by George/Velleman] |
| 7524 | Order, not quantity, is central to defining numbers [Dedekind, by Monk] |
| 17452 | Ordinals can define cardinals, as the smallest ordinal that maps the set [Dedekind, by Heck] |
| 14131 | Dedekind's ordinals are just members of any progression whatever [Dedekind, by Russell] |
| 14437 | Dedekind's axiom that his Cut must be filled has the advantages of theft over honest toil [Dedekind, by Russell] |
| 18094 | Dedekind says each cut matches a real; logicists say the cuts are the reals [Dedekind, by Bostock] |
| 9824 | In counting we see the human ability to relate, correspond and represent [Dedekind] |
| 9826 | A system S is said to be infinite when it is similar to a proper part of itself [Dedekind] |
| 13508 | Dedekind gives a base number which isn't a successor, then adds successors and induction [Dedekind, by Hart,WD] |
| 18096 | Zero is a member, and all successors; numbers are the intersection of sets satisfying this [Dedekind, by Bostock] |
| 18841 | Categoricity implies that Dedekind has characterised the numbers, because it has one domain [Rumfitt on Dedekind] |
| 14130 | Induction is proved in Dedekind, an axiom in Peano; the latter seems simpler and clearer [Dedekind, by Russell] |
| 8924 | Dedekind originated the structuralist conception of mathematics [Dedekind, by MacBride] |
| 9153 | Dedekindian abstraction talks of 'positions', where Cantorian abstraction talks of similar objects [Dedekind, by Fine,K] |
| 24112 | To think about being we must have an opinion about what it is [Nietzsche] |
| 9825 | A thing is completely determined by all that can be thought concerning it [Dedekind] |
| 24089 | Essences are fictions needed for beings who represent things [Nietzsche] |
| 24115 | There is no proof that we forget things - only that we can't recall [Nietzsche] |
| 24090 | Our inclinations would not conflict if we were a unity; we imagine unity for our multiplicity [Nietzsche] |
| 24099 | We contain many minds, which fight for the 'I' of the mind [Nietzsche] |
| 24102 | Thoughts are signs (just as words are) [Nietzsche] |
| 9189 | Dedekind said numbers were abstracted from systems of objects, leaving only their position [Dedekind, by Dummett] |
| 9827 | We derive the natural numbers, by neglecting everything of a system except distinctness and order [Dedekind] |
| 9979 | Dedekind has a conception of abstraction which is not psychologistic [Dedekind, by Tait] |
| 24120 | Great orators lead their arguments, rather than following them [Nietzsche] |
| 24097 | The pragmatics of language is more comprehensible than the meaning [Nietzsche] |
| 24108 | Actions are just a release of force. They seize on something, which becomes the purpose [Nietzsche] |
| 24105 | Drives make us feel non-feelings; Will is the effect of those feelings [Nietzsche] |
| 24117 | We need lower and higher drives, but they must be under firm control [Nietzsche] |
| 24113 | Our motives don't explain our actions [Nietzsche] |
| 24087 | People who miss beauty seek the sublime, where even the ugly shows its 'beauty' [Nietzsche] |
| 24091 | The sublimity of nature which dwarfs us was a human creation [Nietzsche] |
| 24093 | We can aspire to greatness by creating new functions for ourselves [Nietzsche] |
| 24121 | Greeks might see modern analysis of what is human as impious [Nietzsche] |
| 24107 | Once a drive controls the intellect, it rules, and sets the goals [Nietzsche] |
| 24085 | For absolute morality a goal for mankind is needed [Nietzsche] |
| 24101 | We always assign values, but we may not value those values [Nietzsche] |
| 24094 | Humans are vividly aware of short-term effects, and almost ignorant of the long-term ones [Nietzsche] |
| 24111 | Happiness is the active equilibrium of our drives [Nietzsche] |
| 24109 | Actual morality is more complicated and subtle than theory (which gets paralysed) [Nietzsche] |
| 24110 | Some things we would never do, even for the highest ideals [Nietzsche] |
| 24103 | You should not want too many virtues; one is enough [Nietzsche] |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| 24106 | Talk of 'utility' presupposes that what is useful to people has been defined [Nietzsche] |
| 24086 | The goal is to settle human beings, like other animals, but humans are still changeable [Nietzsche] |
| 24123 | My eternal recurrence is opposed to feeling fragmented and imperfect [Nietzsche] |
| 24088 | See our present lives as eternal! Religions see it as fleeting, and aim at some different life [Nietzsche] |
| 24119 | The eternal return of wastefulness is a terrible thought [Nietzsche] |
| 24116 | Justice says people are not equal, and should become increasingly unequal [Nietzsche] |
| 24098 | Reasons that justify punishment can also justify the crime [Nietzsche] |
| 24118 | Do away with punishment. Counter-retribution is as bad as the crime [Nietzsche] |
| 24100 | If you don't want war, remove your borders; but you set up borders because you want war [Nietzsche] |
| 24095 | Our growth is too subtle to perceive, and long events are too slow for us to grasp [Nietzsche] |
| 24096 | Unlike time, space is subjective. Empty space was assumed, but it doesn't exist [Nietzsche] |
| 24122 | Life is forces conjoined by nutrition, to produce resistance, arrangement and value [Nietzsche] |